Fractional Adams-Bashforth/Moulton Methods: an Application to the Fractional Keller–Segel Chemotaxis System

  • Apr 28, 2016
  • News

A New Paper: Dr. Zayernouri, the director of FMATH group in CMSE, is publishing a new paper, entitled: "Fractional Adams-Bashforth/Moulton Methods: an Application to the Fractional Keller–Segel Chemotaxis System" in the Journal of Computational Physics  (see:

This paper generalizes the standard Adams family of time-integration schemes to their fractional-order counterparts. Moreover, this work presents a novel implicit-explicit (IMEX) splitting scheme for linear/nonlinear fractional PDEs of a general advection-reaction-diffusion type, applied to the time- and space-fractional Keller-Segel chemotaxis


M. Zayernouri and A. Matzavinos, “Fractional Adams-Bashforth/Moulton Methods: An application to the fractional Keller–Segel chemotaxis system,” Journal of Computational Physics.